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Finding the Third Proportional to 32,346.56 and 44,542.13

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Solution

The third proportional to 32,346.56 and 44,542.13 is: 61,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,346.56 : 44,542.13 = 44,542.13 : x
  2. Step 2: Convert to fraction form
    32,346.56/44,542.13 = 44,542.13/x
  3. Step 3: Cross multiply
    32,346.56x = 44,542.13 × 44,542.13
  4. Step 4: Simplify right side
    32,346.56x = 1,984,000,899.52
  5. Step 5: Solve for x
    x = 1,984,000,899.52/32,346.56
  6. Step 6: Final answer
    x = 61,335.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.